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Finding the Fourth Proportional to 452.85, 679.47 and 306.77

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Solution

The fourth proportional to 452.85, 679.47 and 306.77 is: 460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.85 : 679.47 = 306.77 : x
  2. Step 2: Convert to fraction form
    452.85/679.47 = 306.77/x
  3. Step 3: Cross multiply
    452.85x = 679.47 × 306.77
  4. Step 4: Simplify right side
    452.85x = 208,440.08
  5. Step 5: Solve for x
    x = 208,440.08/452.85
  6. Step 6: Final answer
    x = 460.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.